EstMLEBetaCorrBin {fitODBOD}

Estimating the covariance, alpha and beta parameter values for Beta-Correlated Binomial Distribution

Description

The function will estimate the covariance, alpha and beta parameter values using the maximum log likelihood method for the Beta-Correlated Binomial distribution when the binomial random variables and corresponding frequencies are given.

Usage

EstMLEBetaCorrBin(x,freq,cov,a,b,...)

Arguments

x

vector of binomial random variables.

freq

vector of frequencies.

cov

single value for covariance.

a

single value for alpha parameter.

b

single value for beta parameter.

...

mle2 function inputs except data and estimating parameter.

Details

x = 0,1,2,...

freq \ge 0

-\infty < cov < +\infty

0 < a,b

NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.

Value

EstMLEBetaCorrBin here is used as a wrapper for the mle2 function of bbmle package therefore output is of class of mle2.

References

Paul SR (1985). “A three-parameter generalization of the binomial distribution.” History and Philosophy of Logic, 14(6), 1497–1506.

See Also

mle2

Examples

No.D.D <- 0:7               #assigning the random variables
Obs.fre.1 <- c(47,54,43,40,40,41,39,95)     #assigning the corresponding frequencies

#estimating the parameters using maximum log likelihood value and assigning it
parameters <- EstMLEBetaCorrBin(x=No.D.D,freq=Obs.fre.1,cov=0.0050,a=10,b=10)

bbmle::coef(parameters)           #extracting the parameters